• Corpus ID: 236772086

Quantum controllability on graph-like manifolds through magnetic potentials and boundary conditions

  title={Quantum controllability on graph-like manifolds through magnetic potentials and boundary conditions},
  author={Aitor Balmaseda and Davide Lonigro and Juan Manuel P'erez-Pardo},
. We investigate the controllability of an infinite-dimensional quantum system: a quantum particle confined on a Thick Quantum Graph, a generalisation of Quantum Graphs whose edges are allowed to be manifolds of arbitrary dimension with quasi- δ boundary conditions. This is a particular class of self-adjoint boundary conditions compatible with the graph structure. We prove that global approximate controllability can be achieved using two physically distinct protocols: either using the boundary… 

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